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Finding the Fourth Proportional to 381,063.57, 571,539.71 and 111,119.18

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Solution

The fourth proportional to 381,063.57, 571,539.71 and 111,119.18 is: 166,662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,063.57 : 571,539.71 = 111,119.18 : x
  2. Step 2: Convert to fraction form
    381,063.57/571,539.71 = 111,119.18/x
  3. Step 3: Cross multiply
    381,063.57x = 571,539.71 × 111,119.18
  4. Step 4: Simplify right side
    381,063.57x = 63,509,020,499.34
  5. Step 5: Solve for x
    x = 63,509,020,499.34/381,063.57
  6. Step 6: Final answer
    x = 166,662.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.